5985800 has 36 divisors (see below), whose sum is σ = 13997895. Its totient is φ = 2380480.

The previous prime is 5985799. The next prime is 5985809. The reversal of 5985800 is 85895.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4866436 + 1119364 = 2206^2 + 1058^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1730.

It is not an unprimeable number, because it can be changed into a prime (5985809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34514 + ... + 34686.

Almost surely, 2^5985800 is an apocalyptic number.

5985800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985800

5985800 is an abundant number, since it is smaller than the sum of its proper divisors (8012095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5985800 is a wasteful number, since it uses less digits than its factorization.

5985800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 5985800 is about 2446.5894629055. The cubic root of 5985800 is about 181.5685954220.

The spelling of 5985800 in words is "five million, nine hundred eighty-five thousand, eight hundred".